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Simplifying 3(2x + -1) + 5 = 5(3x + 2) + -8 Reorder the terms: 3(-1 + 2x) + 5 = 5(3x + 2) + -8 (-1 * 3 + 2x * 3) + 5 = 5(3x + 2) + -8 (-3 + 6x) + 5 = 5(3x + 2) + -8 Reorder the terms: -3 + 5 + 6x = 5(3x + 2) + -8 Combine like terms: -3 + 5 = 2 2 + 6x = 5(3x + 2) + -8 Reorder the terms: 2 + 6x = 5(2 + 3x) + -8 2 + 6x = (2 * 5 + 3x * 5) + -8 2 + 6x = (10 + 15x) + -8 Reorder the terms: 2 + 6x = 10 + -8 + 15x Combine like terms: 10 + -8 = 2 2 + 6x = 2 + 15x Add '-2' to each side of the equation. 2 + -2 + 6x = 2 + -2 + 15x Combine like terms: 2 + -2 = 0 0 + 6x = 2 + -2 + 15x 6x = 2 + -2 + 15x Combine like terms: 2 + -2 = 0 6x = 0 + 15x 6x = 15x Solving 6x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6x + -15x = 15x + -15x Combine like terms: 6x + -15x = -9x -9x = 15x + -15x Combine like terms: 15x + -15x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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